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13219277952 = 27367975297
BaseRepresentation
bin11000100111110111…
…00010110010000000
31021010021101220021010
430103323202302000
5204033113343302
610023423000520
7645405002646
oct142373426200
937107356233
1013219277952
115673a35201
12268b139140
13132894887a
148d5929196
1552581816c
hex313ee2c80

13219277952 has 128 divisors (see below), whose sum is σ = 36011989440. Its totient is φ = 4295098368.

The previous prime is 13219277921. The next prime is 13219277963. The reversal of 13219277952 is 25977291231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2492968 + ... + 2498264.

Almost surely, 213219277952 is an apocalyptic number.

13219277952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13219277952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18005994720).

13219277952 is an abundant number, since it is smaller than the sum of its proper divisors (22792711488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13219277952 is an equidigital number, since it uses as much as digits as its factorization.

13219277952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5478 (or 5466 counting only the distinct ones).

The product of its digits is 476280, while the sum is 48.

The spelling of 13219277952 in words is "thirteen billion, two hundred nineteen million, two hundred seventy-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 97 128 134 192 194 201 268 291 384 388 402 536 582 776 804 1072 1164 1552 1608 2144 2328 3104 3216 4288 4656 5297 6208 6432 6499 8576 9312 10594 12416 12864 12998 15891 18624 19497 21188 25728 25996 31782 37248 38994 42376 51992 63564 77988 84752 103984 127128 155976 169504 207968 254256 311952 339008 354899 415936 508512 513809 623904 678016 709798 831872 1017024 1027618 1064697 1247808 1419596 1541427 2034048 2055236 2129394 2495616 2839192 3082854 4110472 4258788 5678384 6165708 8220944 8517576 11356768 12331416 16441888 17035152 22713536 24662832 32883776 34070304 34425203 45427072 49325664 65767552 68140608 68850406 98651328 103275609 136281216 137700812 197302656 206551218 275401624 413102436 550803248 826204872 1101606496 1652409744 2203212992 3304819488 4406425984 6609638976 13219277952